Algèbres $L^1$ $p$-adiques

DOI10.24033/bsmf.1871zbMath0392.46050OpenAlexW2584317534MaRDI QIDQ4173827

Bernard de Mathan, Jean Fresnel

Publication date: 1978

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1978__106__225_0

zbMATH Keywords

ExtensionNilradicalRadicalAlgebra of Continuous FunctionsAbsolute ValueConvolution ProductField of P-Adic RationalsP-Adic Fourier TransformP-Th Power RootsTopological Tensor ProductUltrametric Fields

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other transforms and operators of Fourier type (43A32) Tensor products in functional analysis (46M05) Valued fields (12J10) (L^1)-algebras on groups, semigroups, etc. (43A20) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (3)

The ultrametric spectral theory ⋮ Non-Archimedean normal operators ⋮ Sous-corps fermés d'un corps valué

Cites Work

• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Non-archimedean group algebras
• On automorphisms of local fields
• Zeros of polynomials over local fields. The Galois action
• Fourier Analysis for P -Adic Lipschitz Functions
• Interpolation $p$-adique
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